Transit dark energy models in Hoyle–Narlikar gravity with observational constraints

Abstract

We discover the cosmic acceleration and physical characteristics of dark energy models in Hoyle–Narlikar’s theory of gravity with observational constraints. We identify analytical solutions for the modified field equations of a barotropic fluid source within a flat Friedmann–Lemaitre–Robertson–Walker (FLRW) spacetime metric, and subsequently apply observational constraints using the cosmic chronometer (CC) Hubble data points and apparent magnitude from Pantheon SNe sample. We investigate the dark energy behavior of creation field theory using $C\propto t$. We investigate the behavior of scale factor $a\left(t\right)$, deceleration parameter $q\left(t\right)$, effective equation of state parameter ${\omega }_{eff}$, and energy conditions over the cosmic time $t$. We also investigate causality and statefinder diagnostic for the model. We have found the value of Hubble constant $H_0=68.9_{-2.7}^{+3.1}$ Km/s/Mpc and matter density parameter ${\Omega }_{m0}=0.280\pm 0.086$ for barotropic fluid $0\le \omega <1$ with dark energy density parameter ${\Omega }_C=0.72\pm 0.014$. We found a constraint on creation-field coupling constant $f>\frac{(1+3\omega )H_0^2}{4\pi (1-\omega )}$ for transit phase accelerating universe. We found the transition age $t_r=6.9,6.7$ giga years with transition redshift $z_{t_r}=0.595,0.603$ along two observational datasets, respectively. For two datasets, we found the effective EoS parameter in the range $-1\le {\omega }_{eff}<\omega$ with present values ${\omega }_{eff0}=-0.71,-0.72$, respectively. We have found a singularity free model in this creation-field theory.